46082400 has 288 divisors, whose sum is σ = 185488128. Its totient is φ = 9676800.

The previous prime is 46082381. The next prime is 46082411. The reversal of 46082400 is 428064.

46082400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218295 + ... + 218505.

It is an arithmetic number, because the mean of its divisors is an integer number (644056).

Almost surely, 2^46082400 is an apocalyptic number.

46082400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92744064).

46082400 is an abundant number, since it is smaller than the sum of its proper divisors (139405728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46082400 is a wasteful number, since it uses less digits than its factorization.

46082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 46082400 is about 6788.4018737844. The cubic root of 46082400 is about 358.5186037898.

The spelling of 46082400 in words is "forty-six million, eighty-two thousand, four hundred".